1.

A linear aperture whose width is 0.02 em is placed immediately in front of a lens of focal length 60 cm. The aperture is illuminated normally by a parallel beam of wavelength 5 xx 10^(-5) cm. The distance of the first dark band of the differation pattern from the centre of the screen is .......

Answer»

`0.20` cm
`0.15 cm`
`0.10 cm`
`0.25 cm`

SOLUTION :For `m^(th)` order dark FRINGE,
`-d sin theta_(m)=m lambda`
`:. sin theta_(1)=((1)lambda)/(d)`
but `sin theta_(1)=(x_(1))/(D)`
`:.(x_(1))/(D)=(lambda)/(d)`
`:.x_(1)=(D lambda)/(d)`
`=(60xx5xx10^(-5))/(0.02)=0.15 cm`


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